58345128 has 24 divisors (see below), whose sum is σ = 158018250. Its totient is φ = 19448352.

The previous prime is 58345117. The next prime is 58345151. The reversal of 58345128 is 82154385.

It is a happy number.

58345128 is a `hidden beast` number, since 583 + 4 + 51 + 28 = 666.

58345128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 58339044 + 6084 = 7638^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×58345128² = 6808307922672768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 58345092 and 58345101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 405103 + ... + 405246.

Almost surely, 2^58345128 is an apocalyptic number.

It is an amenable number.

58345128 is an abundant number, since it is smaller than the sum of its proper divisors (99673122).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58345128 is a wasteful number, since it uses less digits than its factorization.

58345128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810361 (or 810354 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 58345128 is about 7638.3982614158. The cubic root of 58345128 is about 387.8539323349.

The spelling of 58345128 in words is "fifty-eight million, three hundred forty-five thousand, one hundred twenty-eight".